By Stephen J. McPhee
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Additional info for CURRENT Medical Diagnosis and Treatment 2012, Fifty-First Edition
42) is a negative integer the result will be zero, and in the following we have to be careful when these infinite products occur in denominators. Sometimes a limit process has to be used when two such factors occur in numerator and denominator. 42) diverges when q a = 0, The following notation for the |q| ≥ 1. function is often used: Definition 5 a 1 , . . , ap ≡ b1 , . . , br (a1 ) · · · (ap ) . (b1 ) · · · (br ) The meter, the measure unit for the length, can be compared with the tion, a basis for q-calculus.
In 1909 Thorvald N. Thiele (1838– 1910) wrote a book about interpolation theory, containing a table of Stirling numbers. Johan Ludwig Jensen (1859–1925) wrote about gamma functions and thereby influenced Niels Nielsen (1865–1931) in the same area. Nielsen had a strong interest in special functions, in his own way, and introduced Stirling numbers in a paper in French. He has also written biographies on ancient French mathematicians. Nielsen has developed Fakultätenreihen by Bessel functions in his 1904 book on cylinder functions .
Saran got his PhD in 1955 in Lucknow on a treatise on hypergeometric functions of three variables; his supervisor was R. P. Agarwal (1925–2008). Srivastava received his PhD in 1965 in Jai Narain Vyas on a similar topic. The mathematical journal Ganita is printed in Lucknow since 1950; since the sixties, almost every issue contains an article about special 32 2 The different languages of q-calculus functions. In the 1952 issue, there is a report on hypergeometric functions by H. M. Srivastava and A.
CURRENT Medical Diagnosis and Treatment 2012, Fifty-First Edition by Stephen J. McPhee